Charge without charge, regular spherically symmetric solutions and the Einstein-Born-Infeld theory

TL;DR

This paper explores regular, static, spherically symmetric solutions in Einstein-Born-Infeld theory, including a new dyonic solution, analyzing their geometric and electromagnetic properties and addressing the existence of regular electric black holes.

Contribution

It introduces a new dyonic solution in Einstein-Born-Infeld theory and clarifies conditions for the existence of regular electric black holes, extending previous research.

Findings

Explicit analysis of energy conditions and horizons.

Introduction of a new dyonic solution with regular properties.

Circumvention of a 'no go' theorem for regular electric black holes.

Abstract

The aim of this paper is to continue the research of JMP 46, 042501 (2005) of regular static spherically symmetric spacetimes in Einstein-Born-Infeld theories from the point of view of the spacetime geometry and the electromagnetic structure. The energy conditions, geodesic completeness and the main features of the horizons of this spacetime are explicitly shown. A new static spherically symmetric dyonic solution in Einstein-Born-Infeld theory with similar good properties as in the regular pure electric and magnetic cases of our previous work, is presented and analyzed. Also, the circumvention of a version of "no go" theorem claiming the non existence of regular electric black holes and other electromagnetic static spherically configurations with regular center is explained by dealing with a more general statement of the problem.